Calculate linear momentum of earth

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SUMMARY

The linear momentum of the Earth can be calculated using the formula P=mv, where the mass of the Earth is 5.972 x 1024 kg and its tangential velocity is 29,806 m/s. The distance the Earth travels in one complete orbit around the Sun is approximately 9.4 x 1011 m, and the time taken for one orbit is 31,536,000 seconds. Thus, the calculated linear momentum of the Earth is 1.78 x 1029 kg*m/s.

PREREQUISITES
  • Understanding of linear momentum and the formula P=mv
  • Knowledge of circular motion and tangential velocity
  • Basic arithmetic and unit conversion skills
  • Familiarity with the concept of orbital mechanics
NEXT STEPS
  • Study the principles of circular motion and how it relates to orbital mechanics
  • Learn about gravitational forces and their impact on planetary motion
  • Explore the calculations involved in determining orbital velocity
  • Investigate the implications of linear momentum in astrophysics
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Students studying physics, particularly those focusing on mechanics and orbital dynamics, as well as educators looking to enhance their understanding of planetary motion and momentum calculations.

**Mariam**
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Homework Statement


The mass of the Earth is 5.972 x 10^24 kg and its orbital radius is an average of 1.496 x 10^11 m. Calculate its linear momentum.

Homework Equations


P=mv

The Attempt at a Solution


I am not sure how to start?
Given:
mass= 5.972*10^24 kg
Radius(to travel around sun): 1.496*10^11 m
To find:
Tangential velocity and then use the p=mv formula??
 
Last edited:
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**Mariam** said:
To find:
Tangential velocity and then use the p=mv formula??

Yes. How far does the Earth travel in going around the sun once? How long does this take?
 
TSny said:
Yes. How far does the Earth travel in going around the sun once? How long does this take?

Oh, sorry I missed that we need time and then we can assume that charts travels in a circle so we find displacement then velocity...

So here is what I did:
Time=365 days*24hour*60min*60sec= 31,536,000 sec
Distance traveled= 2*pi*R= 9.4*10^11 m
Velocity= 29,806 m/s (this is tangential velocity so it is a linear velocity)
Momentum=mv= 1.78*10^29 kg*m/s
 
That looks right.
 
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